Smooth Partitions of Unity on Certain C(K) Spaces

DOI10.1112/S0025579300000401zbMath1112.46008OpenAlexW2139461723MaRDI QIDQ3410747

Petr Hájek

Publication date: 16 November 2006

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300000401

zbMATH Keywords

\(C(K)\) spacescattered compact spacesmooth partition of unity\(C^{\infty}\)-smooth bump function

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (2)

Polyhedrality in Orlicz spaces ⋮ Locally flat Banach spaces

Cites Work

• Unnamed Item
• The three space problem for smooth partitions of unity and \(C(K)\) spaces
• Problèmes de renormages. (Renorming problems)
• Banach Space Properties of Ciesielski-Pol's C(K) Space
• Trees in Renorming Theory

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